In a way, math isn't the art of answering mathematical questions, it is the art of asking the right questions, the questions that give you insight, the ones that lead you in interesting directions, the ones that connect with lots of other interesting questions -the ones with beautiful answers.
Gregory ChaitinA random sequence is one that cannot be algorithmically compressed : the shortest description of a random sequence is simply the sequence itself.
Gregory ChaitinBut if we play it safe, the problem is that we may be losing out, and I believe we are.
Gregory ChaitinI think logicians hate my work, they detest it! And I'm like pornography, I'm sort of an unmentionable subject in the world of logic, because my results are so disgusting!
Gregory Chaitin